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Finding the Fourth Proportional to 716.21, 1,072.48 and 350.04

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Solution

The fourth proportional to 716.21, 1,072.48 and 350.04 is: 524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.21 : 1,072.48 = 350.04 : x
  2. Step 2: Convert to fraction form
    716.21/1,072.48 = 350.04/x
  3. Step 3: Cross multiply
    716.21x = 1,072.48 × 350.04
  4. Step 4: Simplify right side
    716.21x = 375,405.54
  5. Step 5: Solve for x
    x = 375,405.54/716.21
  6. Step 6: Final answer
    x = 524.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.